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Finding the Fourth Proportional to 3,510.34, 5,263.98 and 1,045.33

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Solution

The fourth proportional to 3,510.34, 5,263.98 and 1,045.33 is: 1,567.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510.34 : 5,263.98 = 1,045.33 : x
  2. Step 2: Convert to fraction form
    3,510.34/5,263.98 = 1,045.33/x
  3. Step 3: Cross multiply
    3,510.34x = 5,263.98 × 1,045.33
  4. Step 4: Simplify right side
    3,510.34x = 5,502,596.21
  5. Step 5: Solve for x
    x = 5,502,596.21/3,510.34
  6. Step 6: Final answer
    x = 1,567.54

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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.