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Finding the Fourth Proportional to 4,702.46, 7,054.02 and 1,582.45

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Solution

The fourth proportional to 4,702.46, 7,054.02 and 1,582.45 is: 2,373.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.46 : 7,054.02 = 1,582.45 : x
  2. Step 2: Convert to fraction form
    4,702.46/7,054.02 = 1,582.45/x
  3. Step 3: Cross multiply
    4,702.46x = 7,054.02 × 1,582.45
  4. Step 4: Simplify right side
    4,702.46x = 11,162,633.95
  5. Step 5: Solve for x
    x = 11,162,633.95/4,702.46
  6. Step 6: Final answer
    x = 2,373.79

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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.