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Finding the Fourth Proportional to 5,298.60, 7,947.98 and 1,403.10

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Solution

The fourth proportional to 5,298.60, 7,947.98 and 1,403.10 is: 2,104.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.60 : 7,947.98 = 1,403.10 : x
  2. Step 2: Convert to fraction form
    5,298.60/7,947.98 = 1,403.10/x
  3. Step 3: Cross multiply
    5,298.60x = 7,947.98 × 1,403.10
  4. Step 4: Simplify right side
    5,298.60x = 11,151,810.74
  5. Step 5: Solve for x
    x = 11,151,810.74/5,298.60
  6. Step 6: Final answer
    x = 2,104.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.