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Finding the Fourth Proportional to 4,116.70, 5,681.19 and 2,348.02

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Solution

The fourth proportional to 4,116.70, 5,681.19 and 2,348.02 is: 3,240.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116.70 : 5,681.19 = 2,348.02 : x
  2. Step 2: Convert to fraction form
    4,116.70/5,681.19 = 2,348.02/x
  3. Step 3: Cross multiply
    4,116.70x = 5,681.19 × 2,348.02
  4. Step 4: Simplify right side
    4,116.70x = 13,339,547.74
  5. Step 5: Solve for x
    x = 13,339,547.74/4,116.70
  6. Step 6: Final answer
    x = 3,240.35

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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.