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Finding the Fourth Proportional to 4,598.71, 6,352.68 and 4,101.19

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Solution

The fourth proportional to 4,598.71, 6,352.68 and 4,101.19 is: 5,665.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,598.71 : 6,352.68 = 4,101.19 : x
  2. Step 2: Convert to fraction form
    4,598.71/6,352.68 = 4,101.19/x
  3. Step 3: Cross multiply
    4,598.71x = 6,352.68 × 4,101.19
  4. Step 4: Simplify right side
    4,598.71x = 26,053,547.69
  5. Step 5: Solve for x
    x = 26,053,547.69/4,598.71
  6. Step 6: Final answer
    x = 5,665.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.