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Finding the Fourth Proportional to 3,534.93, 5,303.52 and 1,070.01

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Solution

The fourth proportional to 3,534.93, 5,303.52 and 1,070.01 is: 1,605.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.93 : 5,303.52 = 1,070.01 : x
  2. Step 2: Convert to fraction form
    3,534.93/5,303.52 = 1,070.01/x
  3. Step 3: Cross multiply
    3,534.93x = 5,303.52 × 1,070.01
  4. Step 4: Simplify right side
    3,534.93x = 5,674,819.44
  5. Step 5: Solve for x
    x = 5,674,819.44/3,534.93
  6. Step 6: Final answer
    x = 1,605.36

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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.