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Finding the Fourth Proportional to 4,854.59, 6,718.58 and 4,738.13

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Solution

The fourth proportional to 4,854.59, 6,718.58 and 4,738.13 is: 6,557.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.59 : 6,718.58 = 4,738.13 : x
  2. Step 2: Convert to fraction form
    4,854.59/6,718.58 = 4,738.13/x
  3. Step 3: Cross multiply
    4,854.59x = 6,718.58 × 4,738.13
  4. Step 4: Simplify right side
    4,854.59x = 31,833,448.17
  5. Step 5: Solve for x
    x = 31,833,448.17/4,854.59
  6. Step 6: Final answer
    x = 6,557.40

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Why These Related Problems?

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