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Finding the Fourth Proportional to 4,702.34, 7,053.84 and 1,582.33

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Solution

The fourth proportional to 4,702.34, 7,053.84 and 1,582.33 is: 2,373.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.34 : 7,053.84 = 1,582.33 : x
  2. Step 2: Convert to fraction form
    4,702.34/7,053.84 = 1,582.33/x
  3. Step 3: Cross multiply
    4,702.34x = 7,053.84 × 1,582.33
  4. Step 4: Simplify right side
    4,702.34x = 11,161,485.01
  5. Step 5: Solve for x
    x = 11,161,485.01/4,702.34
  6. Step 6: Final answer
    x = 2,373.60

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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.