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Finding the Fourth Proportional to 3,159.32, 4,706.54 and 3,017.16

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Solution

The fourth proportional to 3,159.32, 4,706.54 and 3,017.16 is: 4,494.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.32 : 4,706.54 = 3,017.16 : x
  2. Step 2: Convert to fraction form
    3,159.32/4,706.54 = 3,017.16/x
  3. Step 3: Cross multiply
    3,159.32x = 4,706.54 × 3,017.16
  4. Step 4: Simplify right side
    3,159.32x = 14,200,391.77
  5. Step 5: Solve for x
    x = 14,200,391.77/3,159.32
  6. Step 6: Final answer
    x = 4,494.77

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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.