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Finding the Fourth Proportional to 5,189,916.85, 7,785,088.50 and 1,780,547.87

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Solution

The fourth proportional to 5,189,916.85, 7,785,088.50 and 1,780,547.87 is: 2,670,894.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189,916.85 : 7,785,088.50 = 1,780,547.87 : x
  2. Step 2: Convert to fraction form
    5,189,916.85/7,785,088.50 = 1,780,547.87/x
  3. Step 3: Cross multiply
    5,189,916.85x = 7,785,088.50 × 1,780,547.87
  4. Step 4: Simplify right side
    5,189,916.85x = 13,861,722,772,576.27
  5. Step 5: Solve for x
    x = 13,861,722,772,576.27/5,189,916.85
  6. Step 6: Final answer
    x = 2,670,894.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.