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Finding the Fourth Proportional to 5,358.02, 8,036.45 and 1,409.67

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Solution

The fourth proportional to 5,358.02, 8,036.45 and 1,409.67 is: 2,114.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,358.02 : 8,036.45 = 1,409.67 : x
  2. Step 2: Convert to fraction form
    5,358.02/8,036.45 = 1,409.67/x
  3. Step 3: Cross multiply
    5,358.02x = 8,036.45 × 1,409.67
  4. Step 4: Simplify right side
    5,358.02x = 11,328,740.71
  5. Step 5: Solve for x
    x = 11,328,740.71/5,358.02
  6. Step 6: Final answer
    x = 2,114.35

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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.