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Finding the Fourth Proportional to 3,585.60, 5,378.58 and 988.74

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Solution

The fourth proportional to 3,585.60, 5,378.58 and 988.74 is: 1,483.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.60 : 5,378.58 = 988.74 : x
  2. Step 2: Convert to fraction form
    3,585.60/5,378.58 = 988.74/x
  3. Step 3: Cross multiply
    3,585.60x = 5,378.58 × 988.74
  4. Step 4: Simplify right side
    3,585.60x = 5,318,017.19
  5. Step 5: Solve for x
    x = 5,318,017.19/3,585.60
  6. Step 6: Final answer
    x = 1,483.16

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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.