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Finding the Fourth Proportional to 6,056.96, 9,088.29 and 2,547.74

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Solution

The fourth proportional to 6,056.96, 9,088.29 and 2,547.74 is: 3,822.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,056.96 : 9,088.29 = 2,547.74 : x
  2. Step 2: Convert to fraction form
    6,056.96/9,088.29 = 2,547.74/x
  3. Step 3: Cross multiply
    6,056.96x = 9,088.29 × 2,547.74
  4. Step 4: Simplify right side
    6,056.96x = 23,154,554.52
  5. Step 5: Solve for x
    x = 23,154,554.52/6,056.96
  6. Step 6: Final answer
    x = 3,822.80

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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.