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Finding the Fourth Proportional to 5,656.58, 8,484.56 and 1,496.72

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Solution

The fourth proportional to 5,656.58, 8,484.56 and 1,496.72 is: 2,245.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.58 : 8,484.56 = 1,496.72 : x
  2. Step 2: Convert to fraction form
    5,656.58/8,484.56 = 1,496.72/x
  3. Step 3: Cross multiply
    5,656.58x = 8,484.56 × 1,496.72
  4. Step 4: Simplify right side
    5,656.58x = 12,699,024.37
  5. Step 5: Solve for x
    x = 12,699,024.37/5,656.58
  6. Step 6: Final answer
    x = 2,245.00

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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.