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Finding the Fourth Proportional to 4,854.77, 6,702.45 and 4,574.52

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Solution

The fourth proportional to 4,854.77, 6,702.45 and 4,574.52 is: 6,315.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.77 : 6,702.45 = 4,574.52 : x
  2. Step 2: Convert to fraction form
    4,854.77/6,702.45 = 4,574.52/x
  3. Step 3: Cross multiply
    4,854.77x = 6,702.45 × 4,574.52
  4. Step 4: Simplify right side
    4,854.77x = 30,660,493.84
  5. Step 5: Solve for x
    x = 30,660,493.84/4,854.77
  6. Step 6: Final answer
    x = 6,315.54

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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.