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Finding the Fourth Proportional to 4,478.64, 6,720.66 and 1,559.00

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Solution

The fourth proportional to 4,478.64, 6,720.66 and 1,559.00 is: 2,339.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,478.64 : 6,720.66 = 1,559.00 : x
  2. Step 2: Convert to fraction form
    4,478.64/6,720.66 = 1,559.00/x
  3. Step 3: Cross multiply
    4,478.64x = 6,720.66 × 1,559.00
  4. Step 4: Simplify right side
    4,478.64x = 10,477,492.32
  5. Step 5: Solve for x
    x = 10,477,492.32/4,478.64
  6. Step 6: Final answer
    x = 2,339.44

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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.