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Finding the Fourth Proportional to 5,138.34, 7,701.44 and 4,547.85

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Solution

The fourth proportional to 5,138.34, 7,701.44 and 4,547.85 is: 6,816.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.34 : 7,701.44 = 4,547.85 : x
  2. Step 2: Convert to fraction form
    5,138.34/7,701.44 = 4,547.85/x
  3. Step 3: Cross multiply
    5,138.34x = 7,701.44 × 4,547.85
  4. Step 4: Simplify right side
    5,138.34x = 35,024,971.16
  5. Step 5: Solve for x
    x = 35,024,971.16/5,138.34
  6. Step 6: Final answer
    x = 6,816.40

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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.