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Finding the Fourth Proportional to 3,590.40, 5,384.58 and 1,510.40

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Solution

The fourth proportional to 3,590.40, 5,384.58 and 1,510.40 is: 2,265.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.40 : 5,384.58 = 1,510.40 : x
  2. Step 2: Convert to fraction form
    3,590.40/5,384.58 = 1,510.40/x
  3. Step 3: Cross multiply
    3,590.40x = 5,384.58 × 1,510.40
  4. Step 4: Simplify right side
    3,590.40x = 8,132,847.14
  5. Step 5: Solve for x
    x = 8,132,847.14/3,590.40
  6. Step 6: Final answer
    x = 2,265.16

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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.