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Finding the Fourth Proportional to 5,698.42, 8,547.63 and 1,594.42

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Solution

The fourth proportional to 5,698.42, 8,547.63 and 1,594.42 is: 2,391.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.42 : 8,547.63 = 1,594.42 : x
  2. Step 2: Convert to fraction form
    5,698.42/8,547.63 = 1,594.42/x
  3. Step 3: Cross multiply
    5,698.42x = 8,547.63 × 1,594.42
  4. Step 4: Simplify right side
    5,698.42x = 13,628,512.22
  5. Step 5: Solve for x
    x = 13,628,512.22/5,698.42
  6. Step 6: Final answer
    x = 2,391.63

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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.