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Finding the Fourth Proportional to 3,570.86, 5,356.43 and 973.79

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Solution

The fourth proportional to 3,570.86, 5,356.43 and 973.79 is: 1,460.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,570.86 : 5,356.43 = 973.79 : x
  2. Step 2: Convert to fraction form
    3,570.86/5,356.43 = 973.79/x
  3. Step 3: Cross multiply
    3,570.86x = 5,356.43 × 973.79
  4. Step 4: Simplify right side
    3,570.86x = 5,216,006.32
  5. Step 5: Solve for x
    x = 5,216,006.32/3,570.86
  6. Step 6: Final answer
    x = 1,460.72

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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.