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Finding the Fourth Proportional to 4,957.65, 6,840.18 and 3,541.77

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Solution

The fourth proportional to 4,957.65, 6,840.18 and 3,541.77 is: 4,886.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.65 : 6,840.18 = 3,541.77 : x
  2. Step 2: Convert to fraction form
    4,957.65/6,840.18 = 3,541.77/x
  3. Step 3: Cross multiply
    4,957.65x = 6,840.18 × 3,541.77
  4. Step 4: Simplify right side
    4,957.65x = 24,226,344.32
  5. Step 5: Solve for x
    x = 24,226,344.32/4,957.65
  6. Step 6: Final answer
    x = 4,886.66

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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.