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Finding the Fourth Proportional to 4,702.40, 7,046.40 and 4,443.20

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Solution

The fourth proportional to 4,702.40, 7,046.40 and 4,443.20 is: 6,658.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.40 : 7,046.40 = 4,443.20 : x
  2. Step 2: Convert to fraction form
    4,702.40/7,046.40 = 4,443.20/x
  3. Step 3: Cross multiply
    4,702.40x = 7,046.40 × 4,443.20
  4. Step 4: Simplify right side
    4,702.40x = 31,308,564.48
  5. Step 5: Solve for x
    x = 31,308,564.48/4,702.40
  6. Step 6: Final answer
    x = 6,658.00

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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.