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Finding the Fourth Proportional to 3,570.64, 5,356.20 and 973.52

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Solution

The fourth proportional to 3,570.64, 5,356.20 and 973.52 is: 1,460.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,570.64 : 5,356.20 = 973.52 : x
  2. Step 2: Convert to fraction form
    3,570.64/5,356.20 = 973.52/x
  3. Step 3: Cross multiply
    3,570.64x = 5,356.20 × 973.52
  4. Step 4: Simplify right side
    3,570.64x = 5,214,367.82
  5. Step 5: Solve for x
    x = 5,214,367.82/3,570.64
  6. Step 6: Final answer
    x = 1,460.35

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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.