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Finding the Fourth Proportional to 4,924.94, 7,356.95 and 4,430.59

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Solution

The fourth proportional to 4,924.94, 7,356.95 and 4,430.59 is: 6,618.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,924.94 : 7,356.95 = 4,430.59 : x
  2. Step 2: Convert to fraction form
    4,924.94/7,356.95 = 4,430.59/x
  3. Step 3: Cross multiply
    4,924.94x = 7,356.95 × 4,430.59
  4. Step 4: Simplify right side
    4,924.94x = 32,595,629.10
  5. Step 5: Solve for x
    x = 32,595,629.10/4,924.94
  6. Step 6: Final answer
    x = 6,618.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.