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Finding the Fourth Proportional to 4,718.89, 7,038.52 and 4,097.71

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Solution

The fourth proportional to 4,718.89, 7,038.52 and 4,097.71 is: 6,111.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,718.89 : 7,038.52 = 4,097.71 : x
  2. Step 2: Convert to fraction form
    4,718.89/7,038.52 = 4,097.71/x
  3. Step 3: Cross multiply
    4,718.89x = 7,038.52 × 4,097.71
  4. Step 4: Simplify right side
    4,718.89x = 28,841,813.79
  5. Step 5: Solve for x
    x = 28,841,813.79/4,718.89
  6. Step 6: Final answer
    x = 6,111.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.