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Finding the Fourth Proportional to 4,099.64, 5,655.89 and 2,525.00

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Solution

The fourth proportional to 4,099.64, 5,655.89 and 2,525.00 is: 3,483.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.64 : 5,655.89 = 2,525.00 : x
  2. Step 2: Convert to fraction form
    4,099.64/5,655.89 = 2,525.00/x
  3. Step 3: Cross multiply
    4,099.64x = 5,655.89 × 2,525.00
  4. Step 4: Simplify right side
    4,099.64x = 14,281,081.35
  5. Step 5: Solve for x
    x = 14,281,081.35/4,099.64
  6. Step 6: Final answer
    x = 3,483.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.