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Finding the Fourth Proportional to 4,706.10, 7,060.19 and 1,585.86

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Solution

The fourth proportional to 4,706.10, 7,060.19 and 1,585.86 is: 2,379.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.10 : 7,060.19 = 1,585.86 : x
  2. Step 2: Convert to fraction form
    4,706.10/7,060.19 = 1,585.86/x
  3. Step 3: Cross multiply
    4,706.10x = 7,060.19 × 1,585.86
  4. Step 4: Simplify right side
    4,706.10x = 11,196,472.91
  5. Step 5: Solve for x
    x = 11,196,472.91/4,706.10
  6. Step 6: Final answer
    x = 2,379.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.