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Finding the Fourth Proportional to 4,710.92, 7,066.58 and 1,590.65

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Solution

The fourth proportional to 4,710.92, 7,066.58 and 1,590.65 is: 2,386.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.92 : 7,066.58 = 1,590.65 : x
  2. Step 2: Convert to fraction form
    4,710.92/7,066.58 = 1,590.65/x
  3. Step 3: Cross multiply
    4,710.92x = 7,066.58 × 1,590.65
  4. Step 4: Simplify right side
    4,710.92x = 11,240,424.12
  5. Step 5: Solve for x
    x = 11,240,424.12/4,710.92
  6. Step 6: Final answer
    x = 2,386.04

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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.