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Finding the Fourth Proportional to 4,702.56, 7,053.84 and 1,624.80

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Solution

The fourth proportional to 4,702.56, 7,053.84 and 1,624.80 is: 2,437.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.56 : 7,053.84 = 1,624.80 : x
  2. Step 2: Convert to fraction form
    4,702.56/7,053.84 = 1,624.80/x
  3. Step 3: Cross multiply
    4,702.56x = 7,053.84 × 1,624.80
  4. Step 4: Simplify right side
    4,702.56x = 11,461,079.23
  5. Step 5: Solve for x
    x = 11,461,079.23/4,702.56
  6. Step 6: Final answer
    x = 2,437.20

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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.