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Finding the Fourth Proportional to 3,810.02, 5,714.63 and 1,036.52

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Solution

The fourth proportional to 3,810.02, 5,714.63 and 1,036.52 is: 1,554.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.02 : 5,714.63 = 1,036.52 : x
  2. Step 2: Convert to fraction form
    3,810.02/5,714.63 = 1,036.52/x
  3. Step 3: Cross multiply
    3,810.02x = 5,714.63 × 1,036.52
  4. Step 4: Simplify right side
    3,810.02x = 5,923,328.29
  5. Step 5: Solve for x
    x = 5,923,328.29/3,810.02
  6. Step 6: Final answer
    x = 1,554.67

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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.