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Finding the Fourth Proportional to 5,730.40, 8,590.65 and 5,565.16

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Solution

The fourth proportional to 5,730.40, 8,590.65 and 5,565.16 is: 8,342.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.40 : 8,590.65 = 5,565.16 : x
  2. Step 2: Convert to fraction form
    5,730.40/8,590.65 = 5,565.16/x
  3. Step 3: Cross multiply
    5,730.40x = 8,590.65 × 5,565.16
  4. Step 4: Simplify right side
    5,730.40x = 47,808,341.75
  5. Step 5: Solve for x
    x = 47,808,341.75/5,730.40
  6. Step 6: Final answer
    x = 8,342.93

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1.5x scale

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.